A sporting goods store added 50% profit cost and 8% tax to the price of a backpack, which then became $129.60. What was the price of the backpack before adding profit and tax?

Explanation

To find the original price of the backpack, let's denote it as $x.First, a 50% profit is added, making the price 1.5x. Next, an 8% tax is applied to this new price, resulting in 1.08(1.5x) = 1.62x.We are given that the final price is $129.60, so we can set up the equation:1.62x = 129.60Solving for x, we divide both sides by 1.62: x = 129.60 / 1.62 = 80.Therefore, the original price of the backpack before adding profit and tax was $80. Options A, C, and D are incorrect because they do not satisfy this calculation when the tax and profit percentages are removed.